4 articles for “Predator-prey models”

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Research ArticleOpen accessIn the keywordsThe Possibility of Cyclical Behavior in a Class of Dynamic ModelsAnjan MukherjiThe study investigates conditions under which endogenous cyclic behavior may be observed within the context of Predator-Prey (Lotka-Volterra) Models. The analysis also establishes conditions under which such behavior is non-existent and hence establishes conditions for global convergence to the interior equilibrium, whenever it exists. The results are then applied to two diverse sets of economic exercises and shows how the … …American Journal of Applied Sciences, Vol. 2, Issue 13 · 9 Dec 2005 · 7,600 accessesView PDF Cite

Research ArticleOpen accessIn the keywordsOn the Dynamics of a General Predator-Prey SystemM. M.A. El-Sheikh, S. A.A. El-Marouf, Z. M. AlaofyProblem statement: In this study a general two dimensional predator-prey model is considered. The dynamic and existence of equilibrium points are studied. Conclusion/Recommendations: Hopf bifurcation is discussed. The existence and uniqueness of limit cycles is proved. Special cases are considered to justify our results. …Journal of Mathematics and Statistics, Vol. 7, Issue 4 · 28 Oct 2011 · 7,322 accessesView PDF Cite

Research ArticleOpen accessIn the abstractMembrane Computing as a Modeling Tool for Discrete SystemsRavie Chandren Muniyandi, Abdullah Mohd. ZinProblem statement: Discrete systems have been modeled by using Ordinary Differential Equation (ODE) in which the variation of concentration of an object was modeled as continuous and deterministic manner, contrary to the real behaviors of such systems. Although, this approaches able to generate the general behavior of the system, the specific discrete processes and stochastic behaviors in the system have … …Journal of Computer Science, Vol. 7, Issue 11 · 24 Aug 2011 · 6,793 accessesView PDF Cite

Research ArticleOpen accessIn the abstractModel Checking the Biological Model of Membrane Computing with Probabilistic Symbolic Model Checker by Using Two Biological SystemsRavie Chandren Muniyandi, Abdullah Mohd. Zin, Zarina ShukorProblem statement: Membrane computing formalism has provided better modeling capabilities for biological systems in comparison to conventional mathematical models. Model checking could be used to reason about the biological system in detail and with precision by verifying formally whether membrane computing model meets the properties of the system. Approach: This study was carried to investigate the preservation of properties of … …Journal of Computer Science, Vol. 6, Issue 7 · 31 Jul 2010 · 6,672 accessesView PDF Cite